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Math 287 - Nonlinear Optimization - Spring 2014
Answers and Solutions for Practice Problems, Topic 2
NOTE: Answers and solutions provided here may or may not contain full details. In
your own homework problems you are always expected to provide full detai

4. [12] The function g(x) = XZ + 2x - 4 is known to have a root (a place where g(x) = 0) in the interval
[0,2]. Perform the specified number of iterations of each of the following methods to obtain a better idea
of where the root is. In each case state th

Math 287 - Nonlinear Optimization - Spring 2015
Solutions for problems due 5th February
2A. In the early days of computers, computers did not have built-in division algorithms. Some
computers did division by a by computing the reciprocal 1/a using Newtons

Math 287 - Nonlinear Optimization - Spring 2015
Solutions for problems due 22nd January
1D. Find the critical point of the quadratic f (x, y) = 2x2 8xy +10y 2 4y +19 and use deniteness
properties of the Hessian matrix to say as much as you can about wheth

Math 287 - Nonlinear Optimization - Spring 2015
Answers and Solutions for Practice Problems, Topic 2
NOTE: Answers and solutions provided here may or may not contain full details. In
your own homework problems you are always expected to provide full detai

Math 287 - Nonlinear Optimization - Spring 2015
Answers and Solutions for Practice Problems, Topic 3
NOTE: Answers and solutions provided here may or may not contain full details. In
your own homework problems you are always expected to provide full detai

Math 287 - Nonlinear Optimization - Spring 2014
Answers and Solutions for Practice Problems, Topic 1
NOTE: Answers and solutions provided here may or may not contain full details. In
your own homework problems you are always expected to provide full detai

Math 287
Nonlinear Optimization
Spring 2014
2. METHODS OF 1-DIMENSIONAL UNCONSTRAINED OPTIMIZATION
1-dim. optimization special case, useful in itself;
also generalize ideas to multi-dim. methods;
also use 1-dim. methods for line search as part of multi